OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	96
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	29
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	29
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	28
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	27
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	26
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	21
Chaotic Phenomena for Generalised N-centre Problems	21
Benjamin–Feir Instability of Stokes Waves in Finite Depth	19
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	19
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	19
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	19
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	18
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	18
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	17
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	17
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	17
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	16
Partial Regularity for Fractional Harmonic Maps into Spheres	16
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	16
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	16
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	16
Porous Medium Equation with a Drift: Free Boundary Regularity	16
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	15

Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
Viscous Shock Solutions to the Stochastic Burgers Equation	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
Recovery of Coefficients in Semilinear Transport Equations	14
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	13
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	13
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	13
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	13
The Gradient Flow for Entropy on Closed Planar Curves	12
Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media	12
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	12
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	12
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	12
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	12
Calogero Type Bounds in Two Dimensions	12
The Limit of Vanishing Diffusivity for Passive Scalars in Hamiltonian Flows	11
On the Existence of Linearly Oscillating Galaxies	11
Minkowski Inequalities via Nonlinear Potential Theory	11
Grand-Canonical Optimal Transport	11
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	11
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	11
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	11
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	11
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	10
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	10
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	10
Coagulation Equations for Non-spherical Clusters	10
On the Regularity of Non-scattering Anisotropic Inhomogeneities	10
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	10
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	10
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	10
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	10
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	9
Energy Minimisers with Prescribed Jacobian	9
A Uniform Bound for Solutions to a Thermo-diffusive System	9
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	8
On the Regularity of Optimal Transports Between Degenerate Densities	8
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
The Rayleigh–Bénard Problem for Compressible Fluid Flows	8
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	8
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	8
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	8
Conducting Flat Drops in a Confining Potential	8

Regularity and Nondegeneracy for Tumor Growth with Nutrients	8
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	7
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	7
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	7
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	7
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	7
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	7
Higher Order Boundary Harnack Principle via Degenerate Equations	7
The Boltzmann Equation for Uniform Shear Flow	7
Linear Vortex Symmetrization: The Spectral Density Function	7
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	7
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	7
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	7
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	7
Regularity Structures for Quasilinear Singular SPDEs	6
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	6
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	6
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	6
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	6
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	6
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	6
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	6
Regularity for Double Phase Problems at Nearly Linear Growth	6
Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three	6
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	6
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces	6
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	6
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	6
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	6
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	6